225726195371616 has 480 divisors, whose sum is σ = 704391910992000. Its totient is φ = 70666397872128.

The previous prime is 225726195371597. The next prime is 225726195371669. The reversal of 225726195371616 is 616173591627522.

225726195371616 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 2 + 6 + 1 + 9 + 5 + 3 + 7 + 1 + 616 = 666.

225726195371616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 80073143455 + ... + 80073146273.

It is an arithmetic number, because the mean of its divisors is an integer number (1467483147900).

Almost surely, 2^{225726195371616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225726195371616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352195955496000).

225726195371616 is an abundant number, since it is smaller than the sum of its proper divisors (478665715620384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225726195371616 is a wasteful number, since it uses less digits than its factorization.

225726195371616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6056 (or 6039 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 63.

The spelling of 225726195371616 in words is "two hundred twenty-five trillion, seven hundred twenty-six billion, one hundred ninety-five million, three hundred seventy-one thousand, six hundred sixteen".